边理想的符号幂、幂的整数闭包与幂的正则性比较
交换代数
2022-10-12 v2 代数几何
摘要
我们研究了边理想的小符号幂与小幂的整数闭包的正则性。我们还证明了至多含两个奇圈的图的边理想的整数闭包的幂的正则性与其幂的正则性相同。
引用
@article{arxiv.2108.08609,
title = {Regularity comparison of symbolic powers, integral closure of powers and powers of edge ideals},
author = {Arvind Kumar and Rajiv Kumar},
journal= {arXiv preprint arXiv:2108.08609},
year = {2022}
}
备注
16 pages; Title has been changed, and results on the comparison of the regularity of small powers have been added. Comments and suggestions are welcome